Side of Heptagon given Area of Triangle and Inradius Calculator

✖Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices.ⓘ Area of Triangle of Heptagon [A_Triangle]			+10% -10%
✖Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.ⓘ Inradius of Heptagon [r_i]			+10% -10%

✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon given Area of Triangle and Inradius [S]

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Side of Heptagon given Area of Triangle and Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon
S = (2*A_Triangle)/r_i
This formula uses 3 Variables

Variables Used

Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
Area of Triangle of Heptagon - (Measured in Square Meter) - Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices.
Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Area of Triangle of Heptagon: 50 Square Meter --> 50 Square Meter No Conversion Required
Inradius of Heptagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*A_Triangle)/r_i --> (2*50)/11

Evaluating ... ...

S = 9.09090909090909

STEP 3: Convert Result to Output's Unit

9.09090909090909 Meter --> No Conversion Required

FINAL ANSWER

9.09090909090909 ≈ 9.090909 Meter <-- Side of Heptagon

(Calculation completed in 00.020 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Side of Heptagon Calculators

Side of Heptagon given Long Diagonal

LaTeX Go Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)

Side of Heptagon given Short Diagonal

LaTeX Go Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))

Side of Heptagon given Circumradius

LaTeX Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)

Side of Heptagon given Perimeter

LaTeX Go Side of Heptagon = Perimeter of Heptagon/7

< Side of Heptagon Calculators

Side of Heptagon given Area

LaTeX Go Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)

Side of Heptagon given Circumradius

LaTeX Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)

Side of Heptagon given Height

LaTeX Go Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)

Side of Heptagon given Area of Triangle and Inradius

LaTeX Go Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon

Side of Heptagon given Area of Triangle and Inradius Formula

LaTeX Go

Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon
S = (2*A_Triangle)/r_i

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral.

How to Calculate Side of Heptagon given Area of Triangle and Inradius?

Side of Heptagon given Area of Triangle and Inradius calculator uses Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon to calculate the Side of Heptagon, The Side of Heptagon given Area of Triangle and Inradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using area of triangle of the Heptagon. Side of Heptagon is denoted by S symbol.

How to calculate Side of Heptagon given Area of Triangle and Inradius using this online calculator? To use this online calculator for Side of Heptagon given Area of Triangle and Inradius, enter Area of Triangle of Heptagon (A_Triangle) & Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Side of Heptagon given Area of Triangle and Inradius calculation can be explained with given input values -> 9.090909 = (2*50)/11.

FAQ

What is Side of Heptagon given Area of Triangle and Inradius?

The Side of Heptagon given Area of Triangle and Inradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using area of triangle of the Heptagon and is represented as S = (2*A_Triangle)/r_i or Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon. Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices & Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Side of Heptagon given Area of Triangle and Inradius?

The Side of Heptagon given Area of Triangle and Inradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using area of triangle of the Heptagon is calculated using Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon. To calculate Side of Heptagon given Area of Triangle and Inradius, you need Area of Triangle of Heptagon (A_Triangle) & Inradius of Heptagon (r_i). With our tool, you need to enter the respective value for Area of Triangle of Heptagon & Inradius of Heptagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Side of Heptagon?

In this formula, Side of Heptagon uses Area of Triangle of Heptagon & Inradius of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
Side of Heptagon = Perimeter of Heptagon/7

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